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mf_newforms • Show schema
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{'Nk2': 552, 'analytic_conductor': 1.1019355478936692, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 23, 'char_degree': 10, 'char_is_minimal': True, 'char_is_real': False, 'char_orbit_index': 5, 'char_orbit_label': 'e', 'char_order': 11, 'char_parity': 1, 'char_values': [138, 11, [47, 97], [11, 7]], 'cm_discs': [], 'conrey_index': 13, 'conrey_indexes': [13, 25, 31, 49, 55, 73, 85, 121, 127, 133], 'dim': 10, 'field_disc': -2357947691, 'field_disc_factorization': [[-1, 1], [11, 9]], 'field_poly': [1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1], 'field_poly_is_cyclotomic': True, 'field_poly_is_real_cyclotomic': False, 'field_poly_root_of_unity': 22, 'has_non_self_twist': 1, 'hecke_cutters': [[5, [1, -16, 102, -323, 526, -386, 159, -3, 26, 2, 1]]], 'hecke_orbit': 2, 'hecke_orbit_code': 4503874538832010, 'hecke_ring_generator_nbound': 2, 'hecke_ring_index': 1, 'hecke_ring_index_factorization': [], 'hecke_ring_index_proved': True, 'inner_twist_count': 2, 'inner_twists': [[1, 1, 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mf_hecke_cc • Show schema
Hide schema
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-
mf_newspaces • Show schema
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{'Nk2': 552, 'analytic_conductor': 1.1019355478936692, 'char_conductor': 23, 'char_degree': 10, 'char_is_real': False, 'char_orbit_index': 5, 'char_orbit_label': 'e', 'char_order': 11, 'char_parity': 1, 'char_values': [138, 11, [47, 97], [11, 7]], 'conrey_index': 13, 'cusp_dim': 200, 'dim': 40, 'eis_dim': 80, 'eis_new_dim': 0, 'hecke_cutter_primes': [5], 'hecke_orbit_code': 274911461514, 'hecke_orbit_dims': [10, 10, 10, 10], 'label': '138.2.e', 'level': 138, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': True, 'level_primes': [2, 3, 23], 'level_radical': 138, 'mf_dim': 280, 'mf_new_dim': 40, 'num_forms': 4, 'prim_orbit_index': 3, 'relative_dim': 4, 'sturm_bound': 48, 'trace_bound': 3, 'trace_display': [0, 0, 8, 8], 'traces': [40, 0, 0, -4, 8, 0, 8, 0, -4, 4, 24, 0, 16, 8, 8, -4, -20, 0, -16, -36, 4, -32, -64, 0, -52, -28, 0, -36, -12, 12, -12, 0, 12, 24, 20, -4, -16, 32, -36, 4, -12, 12, 16, 24, 8, 20, -48, 0, 44, 24, -16, 16, 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mf_twists_cc • Show schema
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id: 35012478
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 121, 'source_dim': 10, 'source_embedding_index': 1, 'source_hecke_orbit_code': 4503874538832010, 'source_is_minimal': True, 'source_label': '138.2.e.b.121.1', 'source_level': 138, 'target_conrey_index': 121, 'target_dim': 10, 'target_embedding_index': 1, 'target_hecke_orbit_code': 4503874538832010, 'target_is_minimal': True, 'target_label': '138.2.e.b.121.1', 'target_level': 138, 'twist_class_label': '138.2.e.b.73.1', 'twist_class_level': 138, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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id: 35012479
{'conductor': 3, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 121, 'source_dim': 10, 'source_embedding_index': 1, 'source_hecke_orbit_code': 4503874538832010, 'source_is_minimal': True, 'source_label': '138.2.e.b.121.1', 'source_level': 138, 'target_conrey_index': 397, 'target_dim': 10, 'target_embedding_index': 1, 'target_hecke_orbit_code': 18014948298850718, 'target_is_minimal': False, 'target_label': '414.2.i.e.397.1', 'target_level': 414, 'twist_class_label': '138.2.e.b.73.1', 'twist_class_level': 138, 'twisting_char_label': '3.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 35012480
{'conductor': 23, 'degree': 10, 'order': 11, 'parity': 1, 'source_conrey_index': 121, 'source_dim': 10, 'source_embedding_index': 1, 'source_hecke_orbit_code': 4503874538832010, 'source_is_minimal': True, 'source_label': '138.2.e.b.121.1', 'source_level': 138, 'target_conrey_index': 1, 'target_dim': 5, 'target_embedding_index': 4, 'target_hecke_orbit_code': 117093590345190502, 'target_is_minimal': False, 'target_label': '3174.2.a.ba.1.4', 'target_level': 3174, 'twist_class_label': '138.2.e.b.73.1', 'twist_class_level': 138, 'twisting_char_label': '23.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 35012481
{'conductor': 23, 'degree': 10, 'order': 11, 'parity': 1, 'source_conrey_index': 121, 'source_dim': 10, 'source_embedding_index': 1, 'source_hecke_orbit_code': 4503874538832010, 'source_is_minimal': True, 'source_label': '138.2.e.b.121.1', 'source_level': 138, 'target_conrey_index': 73, 'target_dim': 10, 'target_embedding_index': 1, 'target_hecke_orbit_code': 4503874538832010, 'target_is_minimal': True, 'target_label': '138.2.e.b.73.1', 'target_level': 138, 'twist_class_label': '138.2.e.b.73.1', 'twist_class_level': 138, 'twisting_char_label': '23.4', 'twisting_conrey_index': 4, 'weight': 2}
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id: 35012482
{'conductor': 23, 'degree': 10, 'order': 22, 'parity': -1, 'source_conrey_index': 121, 'source_dim': 10, 'source_embedding_index': 1, 'source_hecke_orbit_code': 4503874538832010, 'source_is_minimal': True, 'source_label': '138.2.e.b.121.1', 'source_level': 138, 'target_conrey_index': 1, 'target_dim': 5, 'target_embedding_index': 2, 'target_hecke_orbit_code': 121597189972560998, 'target_is_minimal': False, 'target_label': '3174.2.a.bb.1.2', 'target_level': 3174, 'twist_class_label': '138.2.e.b.73.1', 'twist_class_level': 138, 'twisting_char_label': '23.21', 'twisting_conrey_index': 21, 'weight': 2}
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id: 35012483
{'conductor': 69, 'degree': 10, 'order': 22, 'parity': -1, 'source_conrey_index': 121, 'source_dim': 10, 'source_embedding_index': 1, 'source_hecke_orbit_code': 4503874538832010, 'source_is_minimal': True, 'source_label': '138.2.e.b.121.1', 'source_level': 138, 'target_conrey_index': 1, 'target_dim': 5, 'target_embedding_index': 2, 'target_hecke_orbit_code': 198158383637865778, 'target_is_minimal': False, 'target_label': '9522.2.a.bs.1.2', 'target_level': 9522, 'twist_class_label': '138.2.e.b.73.1', 'twist_class_level': 138, 'twisting_char_label': '69.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 35012484
{'conductor': 69, 'degree': 10, 'order': 22, 'parity': 1, 'source_conrey_index': 121, 'source_dim': 10, 'source_embedding_index': 1, 'source_hecke_orbit_code': 4503874538832010, 'source_is_minimal': True, 'source_label': '138.2.e.b.121.1', 'source_level': 138, 'target_conrey_index': 1, 'target_dim': 5, 'target_embedding_index': 4, 'target_hecke_orbit_code': 193654784010495282, 'target_is_minimal': False, 'target_label': '9522.2.a.br.1.4', 'target_level': 9522, 'twist_class_label': '138.2.e.b.73.1', 'twist_class_level': 138, 'twisting_char_label': '69.44', 'twisting_conrey_index': 44, 'weight': 2}
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id: 35012485
{'conductor': 69, 'degree': 10, 'order': 22, 'parity': -1, 'source_conrey_index': 121, 'source_dim': 10, 'source_embedding_index': 1, 'source_hecke_orbit_code': 4503874538832010, 'source_is_minimal': True, 'source_label': '138.2.e.b.121.1', 'source_level': 138, 'target_conrey_index': 73, 'target_dim': 10, 'target_embedding_index': 1, 'target_hecke_orbit_code': 18014948298850718, 'target_is_minimal': False, 'target_label': '414.2.i.e.73.1', 'target_level': 414, 'twist_class_label': '138.2.e.b.73.1', 'twist_class_level': 138, 'twisting_char_label': '69.50', 'twisting_conrey_index': 50, 'weight': 2}
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mf_hecke_charpolys • Show schema
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id: 374950
{'charpoly_factorization': [[[1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], 1]], 'hecke_orbit_code': 4503874538832010, 'p': 2}
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id: 374951
{'charpoly_factorization': [[[1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1], 1]], 'hecke_orbit_code': 4503874538832010, 'p': 3}
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id: 374952
{'charpoly_factorization': [[[1, -16, 102, -323, 526, -386, 159, -3, 26, 2, 1], 1]], 'hecke_orbit_code': 4503874538832010, 'p': 5}
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id: 374953
{'charpoly_factorization': [[[64009, 22264, 17182, 3630, 3146, 22, 121, 55, -11, 0, 1], 1]], 'hecke_orbit_code': 4503874538832010, 'p': 7}
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id: 374954
{'charpoly_factorization': [[[64009, -102971, 87241, -53966, 22022, -5104, 1056, -165, 55, -11, 1], 1]], 'hecke_orbit_code': 4503874538832010, 'p': 11}
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id: 374955
{'charpoly_factorization': [[[11881, 3052, 156852, -128300, 42491, -8172, 1402, -316, 81, -13, 1], 1]], 'hecke_orbit_code': 4503874538832010, 'p': 13}
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id: 374956
{'charpoly_factorization': [[[279841, 340676, 286718, 188393, 94807, 35903, 10048, 2021, 279, 24, 1], 1]], 'hecke_orbit_code': 4503874538832010, 'p': 17}
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id: 374957
{'charpoly_factorization': [[[4489, -4154, 7760, -1949, 2808, -362, -161, 71, 64, 14, 1], 1]], 'hecke_orbit_code': 4503874538832010, 'p': 19}
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id: 374958
{'charpoly_factorization': [[[6436343, 2798410, 413678, 69299, 33166, 9767, 1442, 131, 34, 10, 1], 1]], 'hecke_orbit_code': 4503874538832010, 'p': 23}
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id: 374959
{'charpoly_factorization': [[[529, 1886, 4359, 6439, 6092, 1079, 16, -195, 70, -13, 1], 1]], 'hecke_orbit_code': 4503874538832010, 'p': 29}
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id: 374960
{'charpoly_factorization': [[[529, 4140, 19299, 7049, 19616, 7679, 2391, 137, -46, -8, 1], 1]], 'hecke_orbit_code': 4503874538832010, 'p': 31}
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id: 374961
{'charpoly_factorization': [[[139129, 34689, 11817, 13251, 8875, 813, 1050, 305, 70, 13, 1], 1]], 'hecke_orbit_code': 4503874538832010, 'p': 37}
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id: 374962
{'charpoly_factorization': [[[434281, -390787, -222298, 92069, 128019, 48806, 11408, 1561, 177, 10, 1], 1]], 'hecke_orbit_code': 4503874538832010, 'p': 41}
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id: 374963
{'charpoly_factorization': [[[50794129, 33190439, 13677658, 3356311, 488183, 69948, 6582, -819, 31, 8, 1], 1]], 'hecke_orbit_code': 4503874538832010, 'p': 43}
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id: 374964
{'charpoly_factorization': [[[-4817, 2682, -82, -97, 4, 1], 2]], 'hecke_orbit_code': 4503874538832010, 'p': 47}
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id: 374965
{'charpoly_factorization': [[[279841, 393047, 492363, 472765, 323563, 141943, 38967, 6069, 587, 35, 1], 1]], 'hecke_orbit_code': 4503874538832010, 'p': 53}
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id: 374966
{'charpoly_factorization': [[[127893481, -16330196, 23011239, -14788746, 4286220, -758792, 95725, -9337, 709, -37, 1], 1]], 'hecke_orbit_code': 4503874538832010, 'p': 59}
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id: 374967
{'charpoly_factorization': [[[11485321, 16199420, 13641906, 6592560, 1789896, 249006, 15339, 965, 147, 2, 1], 1]], 'hecke_orbit_code': 4503874538832010, 'p': 61}
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id: 374968
{'charpoly_factorization': [[[1051640041, -185266877, -719879, 7412440, -768710, -13190, 17791, -2282, 262, -14, 1], 1]], 'hecke_orbit_code': 4503874538832010, 'p': 67}
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id: 374969
{'charpoly_factorization': [[[25938649, -52101390, 44531751, -17468165, 4803337, -937970, 135124, -13772, 968, -44, 1], 1]], 'hecke_orbit_code': 4503874538832010, 'p': 71}
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id: 374970
{'charpoly_factorization': [[[310499641, -207751590, 100866418, 81473340, 20643837, 3092244, 325708, 24644, 1345, 49, 1], 1]], 'hecke_orbit_code': 4503874538832010, 'p': 73}
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id: 374971
{'charpoly_factorization': [[[23203489, 16445238, 7009887, -6671949, 1248272, 353451, 19925, 2415, 306, 8, 1], 1]], 'hecke_orbit_code': 4503874538832010, 'p': 79}
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id: 374972
{'charpoly_factorization': [[[1, 2, 81, 338, 1083, 1693, 1406, 590, 135, 17, 1], 1]], 'hecke_orbit_code': 4503874538832010, 'p': 83}
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id: 374973
{'charpoly_factorization': [[[3044501329, -3108341118, 1290806009, -299083196, 49224069, -5932323, 543546, -37046, 1831, -59, 1], 1]], 'hecke_orbit_code': 4503874538832010, 'p': 89}
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id: 374974
{'charpoly_factorization': [[[9078169, -10867891, 11847617, -15579609, 6312054, 1469984, 157796, 8348, 397, 21, 1], 1]], 'hecke_orbit_code': 4503874538832010, 'p': 97}
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mf_newform_portraits • Show schema
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{'char_orbit_index': 5, 'hecke_orbit': 2, 'label': '138.2.e.b', 'level': 138, 'portrait': 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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 85148000
{'hecke_orbit_code': 4503874538832010, 'n': 1, 'trace_an': 10}
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id: 85148001
{'hecke_orbit_code': 4503874538832010, 'n': 2, 'trace_an': -1}
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id: 85148002
{'hecke_orbit_code': 4503874538832010, 'n': 3, 'trace_an': 1}
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id: 85148003
{'hecke_orbit_code': 4503874538832010, 'n': 4, 'trace_an': -1}
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id: 85148004
{'hecke_orbit_code': 4503874538832010, 'n': 5, 'trace_an': -2}
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id: 85148005
{'hecke_orbit_code': 4503874538832010, 'n': 6, 'trace_an': 1}
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id: 85148006
{'hecke_orbit_code': 4503874538832010, 'n': 7, 'trace_an': 0}
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id: 85148007
{'hecke_orbit_code': 4503874538832010, 'n': 8, 'trace_an': -1}
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id: 85148008
{'hecke_orbit_code': 4503874538832010, 'n': 9, 'trace_an': -1}
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id: 85148009
{'hecke_orbit_code': 4503874538832010, 'n': 10, 'trace_an': 9}
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id: 85148010
{'hecke_orbit_code': 4503874538832010, 'n': 11, 'trace_an': 11}
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id: 85148011
{'hecke_orbit_code': 4503874538832010, 'n': 12, 'trace_an': 1}
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id: 85148012
{'hecke_orbit_code': 4503874538832010, 'n': 13, 'trace_an': 13}
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id: 85148013
{'hecke_orbit_code': 4503874538832010, 'n': 14, 'trace_an': -11}
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id: 85148014
{'hecke_orbit_code': 4503874538832010, 'n': 15, 'trace_an': 13}
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id: 85148015
{'hecke_orbit_code': 4503874538832010, 'n': 16, 'trace_an': -1}
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id: 85148016
{'hecke_orbit_code': 4503874538832010, 'n': 17, 'trace_an': -24}
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id: 85148017
{'hecke_orbit_code': 4503874538832010, 'n': 18, 'trace_an': -1}
-
id: 85148018
{'hecke_orbit_code': 4503874538832010, 'n': 19, 'trace_an': -14}
-
id: 85148019
{'hecke_orbit_code': 4503874538832010, 'n': 20, 'trace_an': -13}
-
id: 85148020
{'hecke_orbit_code': 4503874538832010, 'n': 21, 'trace_an': 11}
-
id: 85148021
{'hecke_orbit_code': 4503874538832010, 'n': 22, 'trace_an': 22}
-
id: 85148022
{'hecke_orbit_code': 4503874538832010, 'n': 23, 'trace_an': -10}
-
id: 85148023
{'hecke_orbit_code': 4503874538832010, 'n': 24, 'trace_an': -10}
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id: 85148024
{'hecke_orbit_code': 4503874538832010, 'n': 25, 'trace_an': -43}
-
id: 85148025
{'hecke_orbit_code': 4503874538832010, 'n': 26, 'trace_an': -9}
-
id: 85148026
{'hecke_orbit_code': 4503874538832010, 'n': 27, 'trace_an': 1}
-
id: 85148027
{'hecke_orbit_code': 4503874538832010, 'n': 28, 'trace_an': -11}
-
id: 85148028
{'hecke_orbit_code': 4503874538832010, 'n': 29, 'trace_an': 13}
-
id: 85148029
{'hecke_orbit_code': 4503874538832010, 'n': 30, 'trace_an': -9}
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